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Finding the Fourth Proportional to 21,005.26, 31,508.49 and 7,855.12

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Solution

The fourth proportional to 21,005.26, 31,508.49 and 7,855.12 is: 11,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.26 : 31,508.49 = 7,855.12 : x
  2. Step 2: Convert to fraction form
    21,005.26/31,508.49 = 7,855.12/x
  3. Step 3: Cross multiply
    21,005.26x = 31,508.49 × 7,855.12
  4. Step 4: Simplify right side
    21,005.26x = 247,502,969.97
  5. Step 5: Solve for x
    x = 247,502,969.97/21,005.26
  6. Step 6: Final answer
    x = 11,782.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.